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x^2-6x-1015=10000000000
We move all terms to the left:
x^2-6x-1015-(10000000000)=0
We add all the numbers together, and all the variables
x^2-6x-10000001015=0
a = 1; b = -6; c = -10000001015;
Δ = b2-4ac
Δ = -62-4·1·(-10000001015)
Δ = 40000004096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{40000004096}=\sqrt{4096*9765626}=\sqrt{4096}*\sqrt{9765626}=64\sqrt{9765626}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-64\sqrt{9765626}}{2*1}=\frac{6-64\sqrt{9765626}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+64\sqrt{9765626}}{2*1}=\frac{6+64\sqrt{9765626}}{2} $
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